Some of the skills that do not say "Area" may be an area attack the games website doesn't have all the correct skill information but i did do my best to fix the ones i know that are area attacks.
lvl 0 Lightning Arrow
lvl 5 Cure Light
lvl 10 Wind Sword
lvl 15 Lightning
lvl 20 Wind Strike - Area
lvl 25 Wind Cannon
lvl 30 Minor Healing and Lightning Pierce
lvl 35 Call Lightning and Cloud Shield - Buff
lvl 40 Lightning Arrow Bolt and Earth Sword and Grasp - Area
lvl 45 Cure Wounds
lvl 50 Wind Shield and Heavenly Hammer
lvl 55 Lightning Bolt
lvl 60 Wind Storm- Area
lvl 65 Wind Ball
lvl 70 Recovery Healing and Chain Lightning Pierce - Area
lvl 75 Call Lightning Bolt and Bright Shield - Buff
lvl 80 Lightning Arrow Wave and Ground Stone and Electric - Area
lvl 85 Heal
lvl 90 Wind Arrow
lvl 95 Lightning Wave
lvl 100 Wind Tornado - Area
lvl 105 Wind Sphere
lvl 110 Great Healing
lvl 110 Shock Lightning Pierce - Area
lvl 115 Call Lightning Wave- Area and Protection Shield - Buff
lvl 120 Ground Clay - Area and Thunder Bolt - Area